In the given figure-if y-x-5 and z-x-4 - then find the value of x-

Y/x=5 ⇒ y=5x and z/x=4 ⇒ z=4x[1 mark] x^∘+y^∘+z^∘=180^∘ x^∘+5x^∘+4x^∘=180^∘ 10x^∘=180^∘ x=18^∘[1 mark] ...

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Standard IX

Mathematics

Linear Pair Axiom

In the given ...

Question

In the given figure,if $\frac{y}{x} = 5 a n d \frac{z}{x} = 4$ , then find the value of x.

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Solution

$\frac{y}{x} = 5$
$\Rightarrow y = 5 x$ and
$\frac{z}{x} = 4$
$\Rightarrow z = 4 x$ $[1 m a r k]$
$x^{\circ} + y^{\circ} + z^{\circ} = 180^{\circ}$
$x^{\circ} + 5 x^{\circ} + 4 x^{\circ} = 180^{\circ}$
$10 x^{\circ} = 180^{\circ}$
$x = 18^{\circ}$ $[1 m a r k]$

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In the given figure,if $\frac{y}{x} = 5 a n d \frac{z}{x} = 4$ , then find the value of x.

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In the given figure,if yx=5 and zx=4 , then find the value of x.

yx=5 ⇒y=5x and zx=4 ⇒z=4x [1 mark] x∘+y∘+z∘=180∘ x∘+5x∘+4x∘=180∘ 10x∘=180∘ x=18∘ [1 mark]

In the given figure,if $\frac{y}{x} = 5 a n d \frac{z}{x} = 4$ , then find the value of x.

$\frac{y}{x} = 5$
$\Rightarrow y = 5 x$ and
$\frac{z}{x} = 4$
$\Rightarrow z = 4 x$ $[1 m a r k]$
$x^{\circ} + y^{\circ} + z^{\circ} = 180^{\circ}$
$x^{\circ} + 5 x^{\circ} + 4 x^{\circ} = 180^{\circ}$
$10 x^{\circ} = 180^{\circ}$
$x = 18^{\circ}$ $[1 m a r k]$